(2 ) Consider the following system of differential equation, with time domain te (0,1): x' = -2x + 4e-t, y' = -xy?/3, | x(0) = 2, (y(0) = 4. Solve it with the non self starting Heun's method, with r-1 = y–1 = 0, and step size h = 0.25.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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1) Consider the following system of differential equation, with time domain t e (0, 1):
x' = -2x + 4e¬t¸
y' = -xy? /3,
x(0) = 2,
y(0) = 4.
Solve it with the non self starting Heun's method, with x-1 = y-1 = 0, and step size h = 0.25.
Transcribed Image Text:(2 1) Consider the following system of differential equation, with time domain t e (0, 1): x' = -2x + 4e¬t¸ y' = -xy? /3, x(0) = 2, y(0) = 4. Solve it with the non self starting Heun's method, with x-1 = y-1 = 0, and step size h = 0.25.
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